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Write opposites of the following: (a) Increase in weight (b) 30 km North (c) 326 BC (d) Loss of Rs. 700 (e) 100 m above sea level
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Represent the following numbers as integers with appropriate signs. (a) An aeroplane is flying at a height of two thousand metre above the ground. (b) A submarine is moving at a depth, eight hundred metre below the sea level. (c) A deposit of rupees two hundred. (d) Withdrawal of rupees seven hundred.
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Represent the following numbers on a number line: (a) + 5 (b) ? 10 (c) + 8 (d) ? 1 (e) ? 6 TIPS Firstly, draw a number line, then represent a negative integer on the left of zero on the number line and a positive integer on the right of zero on the number line.
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Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points.
(a) If point D is + 8, then which point is ?8? (b) Is point G, a negative integer or a positive integer? (c) Write integers for points B and E. (d) Which point marked on this number line has the least value? (e) Arrange all the points in decreasing order of value? TIPS Positive integers are represented on the right of zero and negative integers are represented on the left of zero on a number line but here vertical line is given. So, positive integers will be represented above zero and negative integers will be represented below zero on vertical number line.
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Following is the list of temperatures of five places in India on a particular day of the year:
| Place | Temperature | |
| Siachin | \[{{10}^{o}}C\] below \[{{0}^{o}}C\] | ????? |
| Shimla | \[{{2}^{o}}C\] below \[{{0}^{o}}C\] | ????? |
| Ahmedabad | \[{{30}^{o}}C\] above \[{{0}^{o}}C\] | ????? |
| Delhi | \[{{20}^{o}}C\]above \[{{0}^{o}}C\] | ????? |
| Srinagar | \[{{5}^{o}}C\] below \[{{0}^{o}}C\] | ????? |
(a) Write the temperatures of these places in the form of integers in the blank column. (b) Following is the number line representing the temperature in degree Celsius
Plot the name of the city against its temperature. (c) Which is the coolest place? (d) Write the names of the places, where temperature are above \[{{10}^{o}}C\]. TIPS Temperature below \[{{0}^{o}}C\] is denoted with negative (-) sign and temperature above \[{{0}^{o}}C\]is denoted with positive (+) sign.
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In each of the following pairs, which number is to the right of the other on the number line? (a) 2, 9 (b) ?3, ?8 (c) 0, ?1 (d) ?11, 10 (e) ?6, 6 (f) 1, ?100
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Write all the integers between the given pair (write them in the increasing order). (a) 0 and ?7 (b) ?4 and 4 (c) ?8 and ?15 (d) ?30 and ?23 TIPS We know that on a number line, the number increases as we move to the right and decreases as we move to the left. Here, for increasing order of integers, we will move to the right on number line.
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(a) Write four negative integers greater than ?20. (b) Write four negative integers less than ?10.
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For the following statements, write True (T) or False (F). If the statement is false, correct the statement. (a) ?8 is to the right of ?10 on a number line. (b) ?100 is to the right of ?50 on a number line. (c) Smallest negative integer is ?1. (d) ?26 is greater than ?25.
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Draw a number line and answer the following: (a) Which number will we reach if we move 4 numbers to the right of ?2. (b) Which number will we reach if we move 5 numbers to the left of 1. (c) If we are at ?8 on the number line, in which direction should we move to reach ?13? (d) If we are at ?6 on the number line, in which direction should we move to reach ?1?
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Using the number line write the integer which is (a) 3 more than 5 (b) 5 more than ?5 (c) 6 less than 2 (d) 3 less than ?2 TIPS To find a number more than given number, we move to right of that given number and to find a number less than given number, we move to left of that number.
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Use number line and add the following integers (a) 9 + (?6) (b) 5 + (?11) (c) (?1) + (?7) (d) (?5) + 10 (e) (?1) + (?2) + (?3) (f) (?2) + 8 + (?4) TIPS Firstly, draw the number line and represent first number on it. Now, to add second number in first number, we move right to the first number, if second number is positive and move left to the first number, if second number is negative.
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Add without using number line: (a) 11 + (?7) (b) (?13) + (+18) (c) (?10) + (+19) (d) (?250) + (+150) (e) (?380) + (?270) (f) (?217) + (?100)
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Find the sum of (a) 137 and ? 354 (b) ?52 and 52 (c) ?312, 39 and 192 (d) ?50, ?200 and 300
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Find the sum: (a) (?7) + (?9) + 4 + 16 (b) (37) + (?2) + (?65) + (?8) TIPS Firstly, add the numbers having same sign and get new number. Now, add the numbers having opposite signs.
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Find (a) \[35(20)\] (b) \[72-(90)\] (c) \[(15)(18)\] (d)\[(20)(13)\] (e) \[23(12)\] (j) \[(32)(40)\] TIPS To subtract an integer from another integer, we add additive inverse of the integer that is being subtracted to the other integer.
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Fill in the blanks with >, < or = sign. (a) \[(3)+(6)\_\_\_(3)(6)\] (b)\[(21)(10)\_\_\_(31)+(11)\] (c) \[45(11)\_\_\_57+(4)\] (d) \[(25)(42)\_\_(42)(25)\] TIPS Firstly, find the value of LHS (left hand side) and RHS (right hand side). Then, put the sign > (greater than), < (less than) or = (equal to) by using these rules (i) Every positive integer > 0 then negative integer. (ii) Every negative integer < 0 then positive integer. (iii) If LHS and RHS give same value, then use equal to (=)
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Fill in the blanks. (a) \[(-8)+\_\_=0\] (b) \[13+\_\_\_=0\] (c) \[12+(-12)=\_\_\_\] (d) \[(-4)+\_\_=-12\] (e) \[\_\_-15=-10\] TIPS We know that, if sum of two integers is zero, then these number are called additive inverse of each other. So, to find the additive inverse of a number reverse its sign i.e. if number is positive, then its additive inverse is negative and vice-versa.
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Find (a)\[(-7)-8-(-25)\] (b) \[(-13)+32-8-1\] (c)\[(-7)+(-8)+(-90)\] (d) \[50-(-40)-(-2)\]
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